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This paper investigates the impacts of competition in autonomous mobility-on-demand systems. By adopting a network-flow based formulation, we first determine the optimal strategies of profit-maximizing platform operators in monopoly and…

Optimization and Control · Mathematics 2021-07-27 Berkay Turan , Mahnoosh Alizadeh

Regulatory approval of products in high-stakes domains such as drug development requires statistical evidence of safety and efficacy through large-scale randomized controlled trials. However, the high financial cost of these trials may…

Computer Science and Game Theory · Computer Science 2026-05-08 Ander Artola Velasco , Stratis Tsirtsis , Manuel Gomez-Rodriguez

We study how governments promote social welfare through the design of contracting environments. We model the regulation of contracting as default delegation: the government chooses a delegation set of contract terms it is willing to…

Theoretical Economics · Economics 2022-05-17 Zoë Hitzig , Benjamin Niswonger

We study a robust stochastic optimization problem in the quasi-sure setting in discrete-time. We show that under a lineality-type condition the problem admits a maximizer. This condition is implied by the no-arbitrage condition in models of…

Mathematical Finance · Quantitative Finance 2018-05-11 Ariel Neufeld , Mario Sikic

In this work, we consider optimality conditions of an optimal control problem governed by an obstacle problem. Here, we focus on introducing a, matrix valued, control variable as the coefficients of the obstacle problem. As it is well…

Optimization and Control · Mathematics 2025-03-18 Nicolai Simon , Winnifried Wollner

What is the performance cost of using simple, decoupled control policies in inherently coupled systems? Motivated by industrial refrigeration systems, where centralized compressors exhibit economies of scale yet traditional control employs…

Optimization and Control · Mathematics 2025-04-24 Yohan John , Vade Shah , James A. Preiss , Mahnoosh Alizadeh , Jason R. Marden

We consider a stochastic system whose uncontrolled state dynamics are modelled by a general one-dimensional It\^{o} diffusion. The control effort that can be applied to this system takes the form that is associated with the so-called…

Probability · Mathematics 2007-11-15 Andrew J. F. Jack , Timothy C. Johnson , Mihail Zervos

In markets with budget-constrained buyers, competitive equilibria need not be efficient in the utilitarian sense, or maximise the seller's revenue. We consider a setting with multiple divisible goods. Competitive equilibrium outcomes, and…

Theoretical Economics · Economics 2025-04-09 Simon Finster , Paul W. Goldberg , Edwin Lock

Most products are produced and sold by supply chain networks, where an interconnected network of producers and intermediaries set prices to maximize their profits. I show that there exists a unique equilibrium in a price-setting game on a…

Computer Science and Game Theory · Computer Science 2019-04-16 Toomas Hinnosaar

We introduce a quantitative approach to comparative statics that allows to bound the maximum effect of an exogenous parameter change on a system's equilibrium. The motivation for this approach is a well known paradox in multimarket Cournot…

Computer Science and Game Theory · Computer Science 2015-12-04 Tobias Harks , Philipp von Falkenhausen

Selective labels are a common feature of consequential decision-making applications, referring to the lack of observed outcomes under one of the possible decisions. This paper reports work in progress on learning decision policies in the…

Machine Learning · Computer Science 2020-11-04 Dennis Wei

We study the equilibria of uniform price auctions where many asymmetric bidders have flat demands up to their respective quantity constraints. We present an iterative procedure that systematically finds an equilibrium outcome as well as an…

Theoretical Economics · Economics 2026-04-09 Kiho Yoon

We propose a pseudo-market solution to resource allocation problems subject to constraints. Our treatment of constraints is general: including bihierarchical constraints due to considerations of diversity in school choice, or scheduling in…

Theoretical Economics · Economics 2020-11-09 Federico Echenique , Antonio Miralles , Jun Zhang

A purely state-dependent cost function can be modified by introducing a control-dependent term rewarding submaximal control utilization. A moderation incentive is identically zero on the boundary of the admissible control region and…

Optimization and Control · Mathematics 2010-01-05 Debra Lewis

We examine optimal regulation of financial networks with debt interdependencies between financial firms. We first show that firms often have an incentive to choose excessively risky portfolios and overly correlate their portfolios with…

General Economics · Economics 2025-10-07 Matthew O. Jackson , Agathe Pernoud

We characterize optimal mechanisms for the multiple-good monopoly problem and provide a framework to find them. We show that a mechanism is optimal if and only if a measure $\mu$ derived from the buyer's type distribution satisfies certain…

Computer Science and Game Theory · Computer Science 2017-09-07 Constantinos Daskalakis , Alan Deckelbaum , Christos Tzamos

Recent results, establishing evidence of intractability for such restrictive utility functions as additively separable, piecewise-linear and concave, under both Fisher and Arrow-Debreu market models, have prompted the question of whether we…

Computer Science and Game Theory · Computer Science 2010-10-21 Vijay V. Vazirani

This paper provides a comprehensive analysis of welfare measures when oligopolistic firms face multiple policy interventions and external changes under general forms of market demands, production costs, and imperfect competition. We present…

Economics · Quantitative Finance 2018-12-11 Takanori Adachi , Michal Fabinger

This paper studies optimal mechanisms for collecting and trading data. Consumers benefit from revealing information about their tastes to a service provider because this improves the service. However, the information is also valuable to a…

Theoretical Economics · Economics 2026-01-29 Jiadong Gu

We study a pricing game in multi-hop relay networks where nodes price their services and route their traffic selfishly and strategically. In this game, each node (1) announces pricing functions which specify the payments it demands from its…

Computer Science and Game Theory · Computer Science 2007-10-15 Yufang Xi , Edmund M. Yeh
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